Q: What are the factor combinations of the number 10,253,425?

 A:
Positive:   1 x 102534255 x 20506857 x 146477513 x 78872525 x 41013735 x 29295565 x 15774591 x 112675175 x 58591325 x 31549455 x 225352275 x 4507
Negative: -1 x -10253425-5 x -2050685-7 x -1464775-13 x -788725-25 x -410137-35 x -292955-65 x -157745-91 x -112675-175 x -58591-325 x -31549-455 x -22535-2275 x -4507


How do I find the factor combinations of the number 10,253,425?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 10,253,425, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 10,253,425
-1 -10,253,425

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,253,425.

Example:
1 x 10,253,425 = 10,253,425
and
-1 x -10,253,425 = 10,253,425
Notice both answers equal 10,253,425

With that explanation out of the way, let's continue. Next, we take the number 10,253,425 and divide it by 2:

10,253,425 ÷ 2 = 5,126,712.5

If the quotient is a whole number, then 2 and 5,126,712.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 10,253,425
-1 -10,253,425

Now, we try dividing 10,253,425 by 3:

10,253,425 ÷ 3 = 3,417,808.3333

If the quotient is a whole number, then 3 and 3,417,808.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 10,253,425
-1 -10,253,425

Let's try dividing by 4:

10,253,425 ÷ 4 = 2,563,356.25

If the quotient is a whole number, then 4 and 2,563,356.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 10,253,425
-1 10,253,425
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15713253565911753254552,2754,50722,53531,54958,591112,675157,745292,955410,137788,7251,464,7752,050,68510,253,425
-1-5-7-13-25-35-65-91-175-325-455-2,275-4,507-22,535-31,549-58,591-112,675-157,745-292,955-410,137-788,725-1,464,775-2,050,685-10,253,425

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